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Finding the Fourth Proportional to 270,303, 405,060.83 and 129,897.60

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Solution

The fourth proportional to 270,303, 405,060.83 and 129,897.60 is: 194,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,303 : 405,060.83 = 129,897.60 : x
  2. Step 2: Convert to fraction form
    270,303/405,060.83 = 129,897.60/x
  3. Step 3: Cross multiply
    270,303x = 405,060.83 × 129,897.60
  4. Step 4: Simplify right side
    270,303x = 52,616,429,671.01
  5. Step 5: Solve for x
    x = 52,616,429,671.01/270,303
  6. Step 6: Final answer
    x = 194,657.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.